3. Polynomial and Rational Functions

Problems Involving a Quadratic Function's Minimum or Maximum

Quadratic Functions

Maximum and Minimum Values of Quadratic Functions

Find the maximum or minimum value of a quadratic equation using vertex form: real-world application

Graphing Quadratic Functions - Example 1

Conic Sections: Parabolas, Part 2  (Directrix and Focus)

 Formula to Find the Vertex of a Parabola

Find a" to determine whether vertex is a maximum or a minimum"

Understand horizontal scaling of quadratic equations

Graph quadratic functions

Optimization Problem

 Graphing a Quadratic Function from Standard Form

How to find the Maximum & Minimum Values of Quadratic Functions

Application of quadratic function transformations

Identify features of a quadratic equation

Completing the Square and Vertex Form of Quadratic Equations

Graph of y = x^2 and Its Attributes

How to Find the Maximum or Minimum Value of a Quadratic Function Easily

Find maxima and minima using vertex form

Vertically translate quadratic equations

Graph quadratic functions using the vertex and another point

Vertex Form of a Quadratic Function

Find the Vertex of a Parabola by Using a Formula

Transformation of y = x^2 and Its Attributes

Characteristics of Parabolas

Find the vertex of a graph and determine whether it is a maximum or minimum

Identifying Key Features of a Parabola

Conic Sections: Parabolas, Part 1

Graphing Equations by Plotting Points - Example 1

Graphing a Parabola

Find axis of symmetry and vertex

Learn the toughest concepts covered in Precalculus with step-by-step video tutorials and practice problems by world-class tutors 

Precalculus

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1. Fundamental Concepts of Algebra

2. Functions and Graphs

4. Exponential and Logarithmic Functions

5. Trigonometric Functions

6. Analytic Trigonometry

7. Additional Topics in Trigonometry

8. Systems of Equations and Inequalities

9. Matrices and Determinants

10. Conic Sections and Analytic Geometry

11. Sequences, Induction, and Probability

12. Introduction to Calculus

Identify Polynomial Functions

Recognize Characteristics of Graphs of Polynomial Functions

Determine End Behavior

Use Factoring to Find Zeros of Polynomial Functions

Identify Zeros and Their Multiplicities

Use the Intermediate Value Theorem

Understand the Relationship Between Degree and Turning Points

Graph Polynomial Functions

Polynomial Functions and Their Graphs

Solve Polynomial Inequalities

Solve Rational Inequalities

 Problems Modeled by Polynomial or Rational Inequalities

Polynomial and Rational Inequalities

Add and Subtract Complex Numbers

Multiply Complex Numbers

Divide Complex Numbers

Perform Operations with Square Roots of Negative Numbers

Solve Quadratic Equations with Complex Imaginary Solutions

Complex Numbers

Find the Domains of Rational Functions

Use Arrow Notation

Identify Vertical Asymptotes

Identify Horizontal Asymptotes

Use Transformations to Graph Rational Functions

Graph Rational Functions

Identify Slant Asymptotes

Solve Applied Problems Involving Rational Functions

Rational Functions and Their Graphs

Use Long Division to Divide Polynomials

Use Synthetic Division to Divide Polynomials

Evaluate a Polynomial Using the Remainder Theorem

Use the Factor Theorem to Solve a Polynomial Equation

Dividing Polynomials, Remainder and Factor Theorems

Use Rational Zero Theorem to Find Possible Rational Zeros

Find Zeros of a Polynomial Function

Solve Polynomial Equations

Use the Linear Factorization Theorem to Find Polynomials With Given Zeros

Use Descartes's Rule of Signs

Zeros of Polynomial Functions

Solve Direct Variation Problems

Solve Inverse Variation Problems

Solve Combined Variation Problems

Solve Problems Involving Joint Variation

Modeling Using Variation

Recognize Characteristics of Parabolas

Graph Parabolas

Determine a Quadratic Function's Minimum or Maximum

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Embracing Times Of Uncertainty

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Listening To Lead

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Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

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Winning Collaboration: How To Work More Effectively With Different Personalities

Writing Emails People Want To Read

Critical Thinking

Self Management

Digital Literacy

Collaboration

Communication

Analytical Thinking

Leadership

Flexibility/Adaptability

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